Least Common Multiple of 1588 and 1592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1588 and 1592 the smallest integer that is 632024 that is divisible by both numbers.

Least Common Multiple (LCM) of 1588 and 1592 is 632024.

LCM(1588,1592) = 632024

LCM of 1588 and 1592

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 1588 and 1592

LCM of 1588 and 1592 is 632024

Least common multiple can be found by multiplying the highest exponent prime factors of 1588 and 1592. First we will calculate the prime factors of 1588 and 1592.

Prime Factorization of 1588


2 1588
2 794
397 397
1

Prime factors of 1588 are 2,397. Prime factorization of 1588 in exponential form is:

1588 = 22×3971

Prime Factorization of 1592


2 1592
2 796
2 398
199 199
1

Prime factors of 1592 are 2,199. Prime factorization of 1592 in exponential form is:

1592 = 23×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 1588 and 1592.

LCM(1588,1592) = 23×1991×3971
LCM(1588,1592) = 632024

Factors of 1588

List of positive integer factors of 1588 that divides 1588 without a remainder.

1, 2, 4, 397, 794, 1588

Factors of 1592

List of positive integer factors of 1592 that divides 1592 without a remainder.

1, 2, 4, 8, 199, 398, 796, 1592

Least Common Multiple of 1588 and 1592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1588 and 1592, than apply into the LCM equation.

GCF(1588,1592) = 4
LCM(1588,1592) = ( 1588 × 1592) / 4
LCM(1588,1592) = 2528096 / 4
LCM(1588,1592) = 632024

Properties of LCM 1588 and 1592

(i) The LCM of 1592 and 1588 is associative

LCM of 1588 and 1592 = LCM of 1592 and 1588

Related Least Common Multiples of 1588

Related Least Common Multiples of 1592

Frequently Asked Questions on LCM of 1588 and 1592

1. What is the LCM of 1588 and 1592?

Answer: LCM of 1588 and 1592 is 632024.

2. What are the Factors of 1588?

Answer: Factors of 1588 are 1, 2, 4, 397, 794, 1588. There are 6 integers that are factors of 1588. The greatest factor of 1588 is 1588.

3. What are the Factors of 1592?

Answer: Factors of 1592 are 1, 2, 4, 8, 199, 398, 796, 1592. There are 8 integers that are factors of 1592. The greatest factor of 1592 is 1592.

4. How to Find the LCM of 1588 and 1592?

Answer:

Least Common Multiple of 1588 and 1592 = 632024

Step 1: Find the prime factorization of 1588

1588 = 2 x 2 x 397

Step 2: Find the prime factorization of 1592

1592 = 2 x 2 x 2 x 199

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 632024 = 2 x 2 x 2 x 199 x 397

Step 4: Therefore, the least common multiple of 1588 and 1592 is 632024.